Results 111 to 120 of about 90,064 (303)

A strong law of large numbers for ruled sums [PDF]

open access: yes
We get a criterion for the strong law of large numbers for ruled sums of i.i.d. random variables indexed by finite sets. As applications we obtain strong laws of large numbers for rectangular sums of independent random variables.Ruled sums i.i.d.
Mikosch, Thomas, Skovoroda, Boris
core  

Strong Laws of Large Numbers for General Random Variables Under Conditional Sub-Additive Expectation and Capacity

open access: yesMathematics
We study strong laws of large numbers in a non-linear framework based on conditional sub-additive expectations and conditional sub-additive capacities. Using an axiomatic approach to conditional sub-additive expectation, we establish a conditional Hájek ...
Nyanga Honda Masasila, István Fazekas
doaj   +1 more source

A Note on the Strong Law of Large Numbers for Arrays of Rowwise ρ˜-Mixing Random Variables

open access: yesDiscrete Dynamics in Nature and Society, 2011
Let {Xni,i≥1,n≥1} be an array of rowwise ρ˜-mixing random variables. Some strong law of large numbers for arrays of rowwise ρ˜-mixing random variables is studied under some simple and weak conditions.
Aiting Shen, Shuhe Hu
doaj   +1 more source

Molecular Dynamics Studies of Shape Memory Polymers: From Bead–Spring Models to Atomistic Simulations

open access: yesAdvanced Engineering Materials, EarlyView.
Coarse‐grained (left) and atomistic (right) models of the shape memory polymer ESTANE ETE 75DT3 are shown schematically. The two representations bridge molecular detail and mesoscopic description. Both models capture shape memory behavior, linking segmental mobility and conformational relaxation of anisotropic chains to macroscopic recovery, and ...
Fathollah Varnik
wiley   +1 more source

Experimental Characterization and Constitutive Modeling of the Effect of Prior Inelastic Strain on the Viscoplastic Behavior of AD730 at 700 °C

open access: yesAdvanced Engineering Materials, EarlyView.
This study shows that superalloys used in aircraft engine disks become much more prone to deformation at high temperatures if they have been strained during manufacturing. This effect increases with the level of prior strain but eventually reaches a limit.
Fabio Machado Alves da Fonseca   +9 more
wiley   +1 more source

On the strong law of large numbers for a stationary sequence [PDF]

open access: yes, 2016
New conditions of applicability of the strong law of large numbers to a stationary sequence are found by means of recent general results formulated in terms of moments of sums of random variables.
Petrov, Valentin V.
core   +1 more source

General Bahr-Esseen inequalities and their applications

open access: yesJournal of Inequalities and Applications, 2017
We study the Bahr-Esseen inequality. We show that the Bahr-Esseen inequality holds with exponent p if it holds with exponent q > p $q>p$ for the truncated and centered random variables.
István Fazekas, Sándor Pecsora
doaj   +1 more source

Designing Polymer Nanocomposites for X‐Ray Shielding: Mechanisms, Architectures, and Scalable Processing

open access: yesAdvanced Engineering Materials, EarlyView.
This review highlights advances in lightweight, lead‐free polymer nanocomposites for diagnostic X‐ray shielding. By linking filler chemistry, dispersion, architecture, and photon interaction mechanisms, it establishes structure–performance relationships guiding material design.
Aklilu G. Messele   +2 more
wiley   +1 more source

Inverse Identification of Energy‐Dependent Laser Absorptivity in NiTi Laser Powder‐Bed Fusion via Calibrated Melt Pool Simulation

open access: yesAdvanced Engineering Materials, EarlyView.
A combined experimental–computational framework identifies energy‐dependent laser absorptivity for NiTi in laser powder‐bed fusion, applicable to conduction and transition modes. Single‐track experiments and thermofluid smoothed particle hydrodynamics simulations are coupled through inverse analysis of melt pool geometry.
Mohamadreza Afrasiabi   +3 more
wiley   +1 more source

Strong Law of Large Numbers for Countable Markov Chains Indexed by an Infinite Tree with Uniformly Bounded Degree

open access: yesJournal of Applied Mathematics, 2014
We study the strong law of large numbers for the frequencies of occurrence of states and ordered couples of states for countable Markov chains indexed by an infinite tree with uniformly bounded degree, which extends the corresponding results of countable
Bao Wang   +3 more
doaj   +1 more source

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